Lets pick an arbitrary speed for our space craft, say 1000 Light Years per hour. I had 3 weeks of Physics at U C Davis before realizing I would not pass the 1st test. I have read nothing one can travel faster then the speed of light. I guess you can Warp space to make it closer, but not with my SAT scores. Earth is about 25,000 light years from the center of the galaxy, and another 50,000 to the far edge. Taking this data, we say that we want to travel to that far edge. It will take about 75 hours. 3 days, not bad. I am not a world traveler, but I am pretty sure that you can fly to 95% of this globe in 24 hours. Again, 3 days of travel is not a hardship for most.
Now there are minor galaxies closer, like the Large Magellanic Cloud, but they are primarily gaseous elements and presence of metallic elements is greatly diminished. Ergo, no planets.
So our next closest galaxy is Andromeda. It is 2,500,000 light years away. Even I can do the math on the time for that trip without a calculator. If we had left When Daniel was sitting with the Lions we would be arriving now.
God never said were were exclusive, he just said we were made in his image. I believe there could be billions of other inhabited worlds out there. Or we could also simply be it, we could be that special, and I think that freaks some people out. Either way, none of those hypothetical races will ever meet unless God wants it!